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Simplifying -25t2 + -5t + 1260 = 0 Reorder the terms: 1260 + -5t + -25t2 = 0 Solving 1260 + -5t + -25t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5'. 5(252 + -1t + -5t2) = 0 Factor a trinomial. 5((7 + -1t)(36 + 5t)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7Subproblem 2
Set the factor '(36 + 5t)' equal to zero and attempt to solve: Simplifying 36 + 5t = 0 Solving 36 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 5t = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 5t = 0 + -36 5t = 0 + -36 Combine like terms: 0 + -36 = -36 5t = -36 Divide each side by '5'. t = -7.2 Simplifying t = -7.2Solution
t = {7, -7.2}
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